7
QuizMultiple Choice

Factoring Polynomials Completely

Question 7 • FL-1200700-Mathematics for College Algebra MIS

Pascha is factoring the polynomial, which has four terms.3x3 – 15x2 + 8x – 403x2(x – 5) + 8(x – 5)Which is the completely factored form of her polynomial?

Answer
A
(3x2 – 5) (x + 8)
B
(3x2 – 8) (x + 5)
C
(3x2 + 8) (x – 5)
D
(3x2 + 5) (x – 8)

Explanation

Group the first two terms and the last two terms: 3x³ − 15x² + 8x − 40 = 3x²(x − 5) + 8(x − 5). Both groups contain the common factor (x − 5), so factoring it out gives (3x² + 8)(x − 5). This is choice C.

AI-written and checked against the verified answer.

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